{"id":18345,"date":"2025-07-19T15:00:01","date_gmt":"2025-07-19T13:00:01","guid":{"rendered":"https:\/\/www2.mie.uth.gr\/?page_id=18345"},"modified":"2025-10-25T20:44:19","modified_gmt":"2025-10-25T17:44:19","slug":"%ce%bc%cf%853100-finite-element-method-core-elective-materials-track","status":"publish","type":"page","link":"https:\/\/mie.uth.gr\/?page_id=18345&lang=en","title":{"rendered":"\u039c\u03a53100\u00a0The Finite Element Method (Compulsory Core 2)"},"content":{"rendered":"\t\t
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\u039c\u03a53100 THE FINITE ELEMENT METHOD (COMPULSORY COURSE 2)<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u039c\u03a53100 THE FINITE ELEMENT METHOD (COMPULSORY CORE 2)<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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Course Information<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t
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Course Outline<\/a><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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\u03a0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b5\u03c2 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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\u03a0\u03b5\u03c1\u03af\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2<\/a><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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Course Category<\/strong>
Course Type<\/strong>
Secretary Code<\/strong>
Semester<\/strong>
Duration<\/strong>
ECTS Units
Sector<\/strong>
Instructor<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t

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Undergraduate
Compulsory Course 2
\u039c\u03a53100
6th (Spring)
5 hours\/week
6
Mechanics Materials and Manufacturing Processes
Karamanos Spyros<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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Course Category: <\/strong>Undergraduate
Course Type: <\/strong>Compulsory Course 2
Secretary Code: <\/strong>\u039c\u03a53100
Semester: <\/strong>6th(Spring)
Duration: <\/strong>5 hours\/week
ECTS Units:\u00a0<\/strong>6
Sector:<\/strong> Mechanics Materials and Manufacturing Processes
Instructor:<\/strong>Karamanos Spyros<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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<\/i>Aim<\/span><\/div>

The course is addressed to undergraduate students (6th semester) and refers to the solution of Mechanics problems with the Finite Element Method. The target of the course is the introduction to the Finite Element Method and its application to problems of deformable bodies and structural mechanics, also in related boundary\u2010value problems (e.g. heat transfer or potential flow). Emphasis is given to applications and programming techniques.<\/p><\/div>\n\t\t\t\t\t<\/div>

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<\/i>Syllabus<\/span><\/div>
  • Discrete systems<\/li>
  • \u00a0Continuous systems<\/li>
  • \u00a0Introduction to numerical methods<\/li>
  • \u00a0Finite elements in one\u2010dimensional problems<\/li>
  • \u00a0Two\u2010dimensional boundary\u2010value problems<\/li>
  • \u00a0Finite elements in two\u2010dimensional problems<\/li>
  • \u00a0Finite elements with higher\u2010order shape functions \u2013 isoparametric elements<\/li>
  • \u00a0Programming of the finite element method<\/li><\/ul><\/div>\n\t\t\t\t\t<\/div>
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    <\/i>Literature<\/span><\/div>

    \u00a0Suggested bibliography:<\/strong><\/span>
    Class notes (in Greek)<\/strong><\/span>
    1. \u03a3. \u0391. \u039a\u03b1\u03c1\u03b1\u03bc\u03ac\u03bd\u03bf\u03c2 (2002), \u0397 \u039c\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03a4\u03c9\u03bd \u03a0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03c9\u03bd \u03a3\u03c4\u03bf\u03b9\u03c7\u03b5\u03b9\u03ce\u03bd, \u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2, \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a0.\u0398., \u0392\u03cc\u03bb\u03bf\u03c2.<\/p>


    Bibliography in Greek<\/strong><\/span>
    2. \u03a7\u03c1\u03b9\u03c3\u03c4\u03cc\u03c6\u03bf\u03c1\u03bf\u03c2 \u0393. \u03a0\u03c1\u03bf\u03b2\u03b1\u03c4\u03af\u03b4\u03b7\u03c2 (2017), \u03a0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03b1 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1 \u03c3\u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ce\u03bd, \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a4\u03b6\u03b9\u03cc\u03bb\u03b1, \u0391\u03b8\u03ae\u03bd\u03b1, 2017
    3. \u039c. \u03a0\u03b1\u03c0\u03b1\u03b4\u03c1\u03b1\u03ba\u03ac\u03ba\u03b7\u03c2 (2001), \u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03a6\u03bf\u03c1\u03ad\u03c9\u03bd \u03bc\u03b5 \u03c4\u03b7\u03bd \u039c\u03ad\u03b8\u03bf\u03b4\u03bf \u03c4\u03c9\u03bd \u03a0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03c9\u03bd \u03a3\u03c4\u03bf\u03b9\u03c7\u03b5\u03b9\u03ce\u03bd, \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a0\u03b1\u03c0\u03b1\u03c3\u03c9\u03c4\u03b7\u03c1\u03af\u03bf\u03c5, \u0391\u03b8\u03ae\u03bd\u03b1.
    4. \u0393. \u03a4\u03c3\u03b1\u03bc\u03b1\u03c3\u03c6\u03cd\u03c1\u03bf\u03c2 \u03ba\u03b1\u03b9 \u0395. \u0398\u03b5\u03bf\u03c4\u03cc\u03ba\u03bf\u03b3\u03bb\u03bf\u03c5 (2005), \u00ab\u0397 \u039c\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03c4\u03c9\u03bd \u03a0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03c9\u03bd \u03a3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03c9\u03bd\u00bb, \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1, \u0391\u03b8\u03ae\u03bd\u03b1. Bibliography in English
    5. K. J. Bathe, \u201cFinite Element Procedures\u201d, Prentice\u2010Hall Inc., New Jersey, 1996.
    6. T. R. J. Hughes, \u201cThe Finite Element Method \u2013 Linear Static & Dynamic Finite Element Analysis\u201d, Dover ed., 2000 (\u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7 \u03c4\u03bf\u03c5 \u03a0\u0398).
    7. O. C. Zienkiewicz, R. L. Taylor, \u201cThe finite element method\u201d, 4th ed., London; New York: McGraw \u2010 Hill, 1994, 2 volumes (\u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7 \u03c4\u03bf\u03c5 \u03a0\u0398).
    8. R. D. Cook, D. S. Malkus, M. E. Plesha, \u201cConcepts and applications of finite element analysis\u201d, 3rd ed., New York; Chichester: Wiley , 1989 (\u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7 \u03c4\u03bf\u03c5 \u03a0\u0398).
    9. J. N. Reddy, \u201cAn Introduction to the Finite Element Method\u201d, Second Edition, New York: McGraw \u2010Hill, 1993 (\u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b2\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03ae\u03ba\u03b7 \u03c4\u03bf\u03c5 \u03a0\u0398).<\/p>

    \u00a0Related academic journals:<\/strong><\/span><\/p>

    • Finite Elements in Analysis and Design<\/li>
    • Computer Methods in Applied Mechanics & Engineering<\/li>
    • Computational Mechanics<\/li>
    • \u00a0International Journal for Numerical Methods in Engineering<\/li><\/ul><\/div>\n\t\t\t\t\t<\/div>
      \n\t\t\t\t\t
      <\/i>Teaching Language<\/span><\/div>

      Greek<\/p><\/div>\n\t\t\t\t\t<\/div>

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      <\/i>Teaching Method<\/span><\/div>

      Lectures and Exercises<\/p><\/div>\n\t\t\t\t\t<\/div>

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      <\/i>Student Performance Evaluation<\/span><\/div>

      \u00a0<\/p>
      Final Exams<\/strong><\/td>80%<\/td><\/tr>
      Exercises<\/strong><\/td>20%<\/td><\/tr><\/tbody><\/table><\/div>\n\t\t\t\t\t<\/div>
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      <\/i>Workload (in hours)<\/span><\/div>

      \u00a0<\/h3>

      \u00a0<\/p>
      Activity<\/strong><\/td>Semester Workload<\/strong><\/td><\/tr>
      Lectures<\/td>70<\/td><\/tr>
      Exercises<\/td>30<\/td><\/tr>
      Independent Study<\/td>50<\/td><\/tr>
      Course Total<\/strong><\/td>150<\/strong><\/td><\/tr><\/tbody><\/table>

      \u00a0<\/h3>

      \u00a0<\/h3><\/div>\n\t\t\t\t\t<\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

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